A general construction of E(s2)-optimal supersaturated designs via supplementary difference sets

被引：0
|
作者：
C. Koukouvinos
K. Mylona
机构：
[1] National Technical University of Athens,Department of Mathematics
来源：
Metrika | 2009年 / 70卷
关键词：
Cyclotomy; Difference sets; (; )-optimality; Supersaturated designs; Supplementary difference sets;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Supplementary difference sets can be used to construct a variety of combinatorial designs. In this work, we construct supplementary difference sets that provide E(s2)-optimal, two-level supersaturated designs with the equal occurrence property. Comparisons are made with previous works and it is shown that the proposed method gives promising results for the construction of supersaturated designs with good properties.
引用
收藏
页码：257 / 265
页数：8
相关论文
共 50 条
  • [31] E(s2)-optimality and minimum discrepancy in 2-level supersaturated designs
    Liu, MQ
    Hickernell, FJ
    [J]. STATISTICA SINICA, 2002, 12 (03) : 931 - 939
  • [32] A Bit-Parallel Tabu Search Algorithm for Finding E(s2)-Optimal and Minimax-Optimal Supersaturated Designs
    Morales, Luis B.
    Bulutoglu, Dursun A.
    [J]. COMPUTATIONAL AND MATHEMATICAL METHODS, 2023, 2023
  • [33] SUPPLEMENTARY DIFFERENCE SETS AND D-OPTIMAL DESIGNS FOR N=2 MOD 4
    CHADJIPANTELIS, T
    KOUNIAS, S
    [J]. DISCRETE MATHEMATICS, 1985, 57 (03) : 211 - 216
  • [34] COMPUTATION OF THE E(s~2) VALUES OF SOME E(s~2) OPTIMAL SUPERSATURATED DESIGNS
    刘民千
    张润楚
    [J]. Acta Mathematica Scientia, 2000, (04) : 558 - 562
  • [35] Construction of optimal supersaturated designs via generalized Hadamard matrices
    Li, Min
    Liu, Min-Qian
    Sun, Fasheng
    Zhang, Dong
    [J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (08) : 2565 - 2579
  • [36] Construction of Second Order Slope Rotatable Designs Using Supplementary Difference Sets
    Chiranjeevi, Punugupati
    Victorbabu, Bejjam Re
    [J]. THAILAND STATISTICIAN, 2021, 19 (02): : 261 - 269
  • [37] FURTHER RESULTS ON SUPPLEMENTARY DIFFERENCE SETS AND OPTIMAL CYCLIC COMPLEX LINEAR DESIGNS
    CHADJICONSTANTINIDIS, S
    CHADJIPADELIS, T
    [J]. UTILITAS MATHEMATICA, 1993, 44 : 17 - 40
  • [38] A method for obtaining efficient UE(s2)-optimal two-level supersaturated designs
    Evangelaras, Haralambos
    [J]. STAT, 2021, 10 (01):
  • [39] Unbalanced Two-symbol E(s2)-Optimal Designs
    Bulutoglu, Dursun A.
    Chatterjee, Kashinath
    Georgiou, Stelios D.
    Koukouvinos, Christos
    Ryan, Kenneth J.
    Stylianou, Stella
    [J]. STATISTICS AND APPLICATIONS, 2021, 19 (01): : 11 - 28
  • [40] On multipliers of supplementary difference sets and D-optimal designs for n ≡ 2mod4
    Georgiou, S
    Koukouvinos, C
    [J]. UTILITAS MATHEMATICA, 1999, 56 : 127 - 136
12345